On the nondegeneracy of the critical points of the Robin function in symmetric domains

Comptes Rendus Mathematique

Volumn 335, Issue 2, 2002, Pages 157-160

  Grossi, Massimo ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038391417     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02448-2     Document Type: Article

References (8)

1. A. Bahri, Y.Y. Li, O. Rey, On a variational problemwith lack of compactness: the topological effect of the critical points at infinity, Calc. Var. 3 (1995) 67-93.
2. C. Bandle, M. Flucher, Harmonic radius and concentration of energy; hyperbolic radius and Liouville's equations, SIAM Rev. 38 (1996) 239-255.
3. H. Brezis, L. Peletier, Asymptotics for elliptic equations involving the critical growth, in: Partial Differential Equations and Calculus of Variations, Progr. Nonlinear Differential Equations Appl., Vol. 1, Birkäuser, Boston, 1989, pp. 149-192.
4. D. Gilbarg, N. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, 1983.
5. L. Glangetas, Uniqueness of positive solutions of a nonlinear elliptic equation involving the critical exponent, Nonlinear Anal. 20 (1993) 571-603.
6. Z.C. Han, Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponents, Ann. Inst. H. Poincaré Anal. Non Linéaire 8 (1991) 159-174.
7. O. Rey. The role of the Green's function in a nonlinear elliptic equation involving critical Sobolev exponent, J. Funct. Anal. 89 (1990) 1-52.
8. O. Rey, Proof of two conjecture of H. Brezis and L.A. Peletier, Manuscripta Math. 65 (1989) 19-37.